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Publikováno v:
Comptes Rendus Mathematique. 335:801-804
On R n , n⩾1 and n≠2, we prove the existence of a sharp constant for Sobolev inequalities with higher fractional derivatives. Let s be a positive real number. For n>2s and q= 2n n−2s any function f∈ H s ( R n ) satisfies ‖f‖ 2 q ⩽S n,s